Show commands:
SageMath
E = EllipticCurve("cf1")
E.isogeny_class()
Elliptic curves in class 12600cf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12600.cm1 | 12600cf1 | \([0, 0, 0, -69375, 7034375]\) | \(-324179200/63\) | \(-7176093750000\) | \([]\) | \(53760\) | \(1.4668\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12600cf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 12600cf do not have complex multiplication.Modular form 12600.2.a.cf
sage: E.q_eigenform(10)